LCM for 18 and 96

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What's the Least Common Multiple (LCM) of 18 and 96?

Answer

LCM of 18 and 96 is
288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 18 = 16, 288 ÷ 96 = 3 — and 16 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 16 and of y/96 by 3.

18 = 2 × 32

96 = 25 × 3

Prime1896Highest power
222525
332332

LCM = 25 × 32 = 288

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LCM Table

Number 1Number 2LCM
1842126
184590
1848144
1849882
1852468
185454
1856504
1857342
18591,062
1860180
1863126
1864576
1866198
1870630
187272
1875450
1878234
1880720
1881162
1884252
1888792
1896288
1899198
18100900
18108108
181121,008
18120360
181301,170
18225450
182502,250

FAQ

What's the Least Common Multiple (LCM) of 18 and 96?

LCM of 18 and 96 is 288

How to find the LCM of 18 and 96 using prime factorization?

To find the LCM of 18 and 96, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 288.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 18 and 96: LCM = 288, GCF = 6.

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